Geometry and similarity

Chapter 70 of 28 strong

RESTS ONConvert between unitsCH 1 Solve two-step linear equations by inverse operations in reverse orderCH 2 Express a ratioCH 1 Highest common factorCH 1

Angles and parallel lines

Triangle angle properties

Quadrilateral angle properties

Polygon angles and perimeter

Triangle congruence tests

Congruence proofs

Enlargement and scale

Similar triangle tests

Applied similarity and volume scaling

Geometrical algorithms

Classify an angle by size (acute, right, obtuse, straight, reflex, revolution) and apply the complementary (sum 90) and supplementary (sum 180) relationships on a line

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RESTS ON

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Identify the vertically opposite pair at an intersection of two lines and use their equality to find an unknown angleIdentify corresponding, alternate and cointerior pairs on a transversal and apply the equality/supplementary relations when the lines are parallel, including chained reasoning from one given angle to the remaining pronumeralsUse the 180-degree interior-angle sum to find an unknown triangle angle, and classify triangles both by side lengths (equilateral, isosceles, scalene) and by largest angle (acute, right, obtuse)Compute an exterior angle of a regular polygon as 360/n, and distinguish interior and exterior angle asks; use the 360-degree exterior-angle sum for regular polygons